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Abstract
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We review Poisson-Lie symmetry on manifolds and Poisson-Lie T-dual sigma models on Lie groups. The
worldsheet boundary conditions are defined in terms of a gluing matrix which locally encodes the properties of the
D-branes, and then by using the canonical transformation description of the Poisson-Lie T-duality transformations
we derive the duality map for gluing matrix. In this way, we demonstrate how the boundary conditions transform
under Poisson-Lie T-duality. Finally, we demonstrate explicitly the implications of this map for D-branes in the
WZW model defined on the Heisenberg Lie group H_4 .
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